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Finding the Third Proportional to 78,372.50 and 117,734.50

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Solution

The third proportional to 78,372.50 and 117,734.50 is: 176,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,372.50 : 117,734.50 = 117,734.50 : x
  2. Step 2: Convert to fraction form
    78,372.50/117,734.50 = 117,734.50/x
  3. Step 3: Cross multiply
    78,372.50x = 117,734.50 × 117,734.50
  4. Step 4: Simplify right side
    78,372.50x = 13,861,412,490.25
  5. Step 5: Solve for x
    x = 13,861,412,490.25/78,372.50
  6. Step 6: Final answer
    x = 176,865.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.